STAT 400 Lecture Notes - Lecture 1: Silver Springs, Florida, Conditional Probability

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Stat 400, chapter 2, probability, conditional probability and bayes" theorem supplemental handout prepared by tim pilachowski. Silver springs, florida, has a snack bar and a gift shop. The management observes 100 visitors, and counts 65 who eat in the snack bar. Among those who ate in the snack bar, 40 also make a purchase in the gift shop. Of the patrons who did not eat in the snack bar, 15 bought something in the gift shop. What is the probability that a person who made a purchase in the gift shop ate in the snack bar? translation: p(ate in the snack bar | made a purchase) = p(sb | g). Which branches above make up event g happens ? the first and third ones down. 13 means that 8 out of every 13 people who eat in the snack bar also made a purchase in the gift shop.

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